{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "\n",
    "<p align=\"center\">\n",
    "    <img src=\"https://github.com/GeostatsGuy/GeostatsPy/blob/master/TCG_color_logo.png?raw=true\" width=\"220\" height=\"240\" />\n",
    "\n",
    "</p>\n",
    "\n",
    "## Visualizing Spatial Continuity in Python for Engineers, Data Scientists and Geoscientists \n",
    "### Michael Pyrcz, Associate Professor, University of Texas at Austin \n",
    "\n",
    "#### Contacts: [Twitter/@GeostatsGuy](https://twitter.com/geostatsguy) | [GitHub/GeostatsGuy](https://github.com/GeostatsGuy) | [www.michaelpyrcz.com](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446)\n",
    "\n",
    "This a simple demonstration of the calculate of 1D datasets with variable spatial continuity and visualization.\n",
    "\n",
    "* it is useful to tune our eyes to recognized the difference between spatial continuous and completely random spatial phenomenon \n",
    "\n",
    "* we will perform the calculations in 1D for fast run times and ease of visualization.\n",
    "\n",
    "#### Load the required libraries\n",
    "\n",
    "The following code loads the required libraries.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os                                                   # to set current working directory \n",
    "import numpy as np                                          # arrays and matrix math\n",
    "import scipy.stats as st                                    # statistical methods\n",
    "import pandas as pd                                         # DataFrames\n",
    "import matplotlib.pyplot as plt                             # for plotting\n",
    "plt.rc('axes', axisbelow=True)                              # set axes and grids in the background for all plots\n",
    "import math                                                 # for square root\n",
    "from geostatspy import GSLIB \n",
    "seed = 73073"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you get a package import error, you may have to first install some of these packages. This can usually be accomplished by opening up a command window on Windows and then typing 'python -m pip install [package-name]'. More assistance is available with the respective package docs.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Set the working directory\n",
    "\n",
    "I always like to do this so I don't lose files and to simplify subsequent read and writes (avoid including the full address each time).  Also, in this case make sure to place the required (see below) data file in this working directory.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "#os.chdir(\"C:\\PGE337\")                                      # set the working directory"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generate the Initial Random Dataset\n",
    "\n",
    "We will asume random and Gaussian distributed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 200; mean = 0.20; stdev = 0.03\n",
    "\n",
    "np.random.seed(seed = seed)\n",
    "data0 = np.random.normal(loc=0.20,scale=0.03,size=n+1000)\n",
    "data0 = GSLIB.affine(data0,mean,stdev)\n",
    "\n",
    "fig, axs = plt.subplots(1,2, gridspec_kw={'width_ratios': [2, 1]})\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.plot(np.arange(1,n+1),data0[500:n+500],color='darkorange',lw=3,alpha=0.6,label='Random')\n",
    "plt.xlim([0,n]); plt.ylim([mean-4*stdev,mean+4*stdev])\n",
    "plt.xlabel('Location (m)'); plt.ylabel('Porosity (%)'); plt.title('Porosity Over Location, Random and Spatially Correlated')\n",
    "plt.grid(); plt.legend(loc='upper right')\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.hist(data0[500:n+500],color='darkorange',alpha=0.6,edgecolor='black',bins=np.linspace(mean-4*stdev,mean+4*stdev,30),label='Random')\n",
    "plt.xlim([mean-4*stdev,mean+4*stdev]); plt.ylim([0,30])\n",
    "plt.xlabel('Porosity (%)'); plt.ylabel('Frequency'); plt.title('Porosity Histogram')\n",
    "plt.grid(); plt.legend(loc='upper right')\n",
    "\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.4, top=0.9, wspace=0.15, hspace=0.0); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Take some time to observe a random phenomenon. \n",
    "\n",
    "* see any patterns, e.g., strings of low or high values, increasing or decreasing trends?\n",
    "\n",
    "#### Add Spatial Correlation\n",
    "\n",
    "We can use convolution to add spatial continuity to a random set of values\n",
    "\n",
    "* we won't go into the details, but the convolution kernel can actually be related to the variogram in sequential Gaussian simulation.\n",
    "\n",
    "* we apply an affine correction to ensure that we don't change the mean or standard deviation with the convolution, we just change the spatial continuity\n",
    "\n",
    "* since we are using convolution, it is likely that there will be edge artifacts, so we have 'cut off' the edges of the model (500 m on each side)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "size1 = 50\n",
    "kern1 = np.ones(size1)\n",
    "data1 = np.convolve(data0,kern1,mode='same')\n",
    "data1_sub = GSLIB.affine(data1[500:n+500],mean,stdev)\n",
    "\n",
    "fig, axs = plt.subplots(1,2, gridspec_kw={'width_ratios': [2, 1]})\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.plot(np.arange(1,n+1),data0[500:n+500],color='orange',lw=3,alpha=0.4,label='Random')\n",
    "plt.plot(np.arange(1,n+1),data1_sub,color='red',lw=3,label='Spatial Continuity')\n",
    "plt.xlim([0,n]); plt.ylim([mean-4*stdev,mean+4*stdev])\n",
    "plt.xlabel('Location (m)'); plt.ylabel('Porosity (%)'); plt.title('Porosity Over Location, Random and Spatially Correlated')\n",
    "plt.grid(); plt.legend(loc='upper right')\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.hist(data0[500:n+500],color='orange',alpha=0.6,edgecolor='black',bins=np.linspace(mean-4*stdev,mean+4*stdev,30),label='Random')\n",
    "plt.hist(data1_sub,color='red',alpha=0.6,edgecolor='black',bins=np.linspace(mean-4*stdev,mean+4*stdev,30),label='Spatial Continuity')\n",
    "plt.xlim([mean-4*stdev,mean+4*stdev]); plt.ylim([0,30])\n",
    "plt.xlabel('Porosity (%)'); plt.ylabel('Frequency'); plt.title('Porosity Histogram')\n",
    "plt.grid(); plt.legend(loc='upper right')\n",
    "\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.4, top=0.9, wspace=0.15, hspace=0.0); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Comments\n",
    "\n",
    "This was a basic demonstration of fundamental workflow building blocks for machine learning in Python with scikit-learn. \n",
    "\n",
    "I have many other demonstrations on simulation to build spatial models with spatial continuity and many other workflows available [here](https://github.com/GeostatsGuy/PythonNumericalDemos), along with a package for geostatistics in Python called [GeostatsPy](https://github.com/GeostatsGuy/GeostatsPy). \n",
    "  \n",
    "We hope this was helpful,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "***\n",
    "\n",
    "#### More on Michael Pyrcz and the Texas Center for Geostatistics:\n",
    "\n",
    "### Michael Pyrcz, Associate Professor, University of Texas at Austin \n",
    "*Novel Data Analytics, Geostatistics and Machine Learning Subsurface Solutions*\n",
    "\n",
    "With over 17 years of experience in subsurface consulting, research and development, Michael has returned to academia driven by his passion for teaching and enthusiasm for enhancing engineers' and geoscientists' impact in subsurface resource development. \n",
    "\n",
    "For more about Michael check out these links:\n",
    "\n",
    "#### [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n",
    "\n",
    "#### Want to Work Together?\n",
    "\n",
    "I hope this content is helpful to those that want to learn more about subsurface modeling, data analytics and machine learning. Students and working professionals are welcome to participate.\n",
    "\n",
    "* Want to invite me to visit your company for training, mentoring, project review, workflow design and / or consulting? I'd be happy to drop by and work with you! \n",
    "\n",
    "* Interested in partnering, supporting my graduate student research or my Subsurface Data Analytics and Machine Learning consortium (co-PIs including Profs. Foster, Torres-Verdin and van Oort)? My research combines data analytics, stochastic modeling and machine learning theory with practice to develop novel methods and workflows to add value. We are solving challenging subsurface problems!\n",
    "\n",
    "* I can be reached at mpyrcz@austin.utexas.edu.\n",
    "\n",
    "I'm always happy to discuss,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "Michael Pyrcz, Ph.D., P.Eng. Associate Professor The Hildebrand Department of Petroleum and Geosystems Engineering, Bureau of Economic Geology, The Jackson School of Geosciences, The University of Texas at Austin\n",
    "\n",
    "#### More Resources Available at: [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
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 },
 "nbformat": 4,
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